Coarse-graining approaches for particulate composites as micropolar continua

Patrizia Trovalusci, Maria Laura De Bellis, Agnese Murrali, Martin Ostoja-Starzewski

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

A multitude of composite materials ranging from polycrystals up to concrete and masonry-like materials overwhelmingly display random morphologies. In this work we propose a statistically-based multiscale procedure which allow us to simulate the actual microstructure of a two-dimensional and two-phase random medium and to estimate the elastic moduli of the energy equivalent homogeneous micropolar continuum. This procedure uses finite-size scaling of Statistical Volume Elements (SVEs) and approaches the so-called Representative Volume Element (RVE) through two hierarchies of constitutive bounds, respectively stemming from the numerical solution of Dirichlet and Neumann non-classical boundary value problems, set up on mesoscale material cells. The results of the performed numerical simulations point out the worthiness of accounting spatial randomness as well as the additional degrees of freedom of the Cosserat continuum.

Original languageEnglish (US)
Title of host publication11th World Congress on Computational Mechanics, WCCM 2014, 5th European Conference on Computational Mechanics, ECCM 2014 and 6th European Conference on Computational Fluid Dynamics, ECFD 2014
EditorsAntonio Huerta, Eugenio Onate, Xavier Oliver
PublisherInternational Center for Numerical Methods in Engineering
Pages3302-3312
Number of pages11
ISBN (Electronic)9788494284472
StatePublished - Jul 1 2014
EventJoint 11th World Congress on Computational Mechanics, WCCM 2014, the 5th European Conference on Computational Mechanics, ECCM 2014 and the 6th European Conference on Computational Fluid Dynamics, ECFD 2014 - Barcelona, Spain
Duration: Jul 20 2014Jul 25 2014

Publication series

Name11th World Congress on Computational Mechanics, WCCM 2014, 5th European Conference on Computational Mechanics, ECCM 2014 and 6th European Conference on Computational Fluid Dynamics, ECFD 2014

Other

OtherJoint 11th World Congress on Computational Mechanics, WCCM 2014, the 5th European Conference on Computational Mechanics, ECCM 2014 and the 6th European Conference on Computational Fluid Dynamics, ECFD 2014
CountrySpain
CityBarcelona
Period7/20/147/25/14

Keywords

  • Cosserat continua
  • Random composites
  • Representative Volume Element
  • Statistical homogenization

ASJC Scopus subject areas

  • Mechanics of Materials
  • Computational Theory and Mathematics
  • Computer Science Applications
  • Mechanical Engineering

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  • Cite this

    Trovalusci, P., De Bellis, M. L., Murrali, A., & Ostoja-Starzewski, M. (2014). Coarse-graining approaches for particulate composites as micropolar continua. In A. Huerta, E. Onate, & X. Oliver (Eds.), 11th World Congress on Computational Mechanics, WCCM 2014, 5th European Conference on Computational Mechanics, ECCM 2014 and 6th European Conference on Computational Fluid Dynamics, ECFD 2014 (pp. 3302-3312). (11th World Congress on Computational Mechanics, WCCM 2014, 5th European Conference on Computational Mechanics, ECCM 2014 and 6th European Conference on Computational Fluid Dynamics, ECFD 2014). International Center for Numerical Methods in Engineering.